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Superstability of Some Pexider-Type Functional Equation
We will investigate the superstability of the sine functional equation from the following Pexider-type functional equation ( ), which can be considered the mixed functional equation of the sine and cosine functions, the mixed functional equation of the
Kim GwangHui
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Asymptotic theory of the hyperbolic boundary layer in shells of revolution at shock edge loading of the tangential type [PDF]
The present work is devoted to the construction of asymptotically optimized equations of the hyperbolic boundary layer in thin shells of revolution in the vicinity of the dilation wave front at shock edge loading of the tangential type.
Kirillova, Irina V.
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Solvability of a nonlocal problem for a hyperbolic equation with integral conditions
We study a nonlocal problem with integral conditions for a hyperbolic equation two independent variables. By introducing additional functional parameters, we investigated the solvability and construction of approximate solutions.
Anar T. Assanova
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We study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for ...
Hu Yanbo, Sugiyama Yuusuke
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Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
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On a parabolic-hyperbolic Penrose-Fife phase-field system
The initial and boundary value problem is studied for a non-conserved phase-field system derived from the Penrose-Fife model for the kinetics of phase transitions.
Pierluigi Colli +2 more
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